/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 1024 Find the midpoint of the segment... [FREE SOLUTION] | 91影视

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Chapter 32: Problem 1024

Find the midpoint of the segment from \(\mathrm{R}(-3,5)\) to \(\mathrm{S}(2,-8)\).

Short Answer

Expert verified
The midpoint of the segment RS is M\(\left(-\frac{1}{2}, -\frac{3}{2}\right)\).

Step by step solution

01

Identify the coordinates of R and S

The coordinates of R are (-3, 5) and the coordinates of S are (2, -8). Now that we know both coordinates, we can use the midpoint formula to find the midpoint M.
02

Apply the midpoint formula

Use the midpoint formula and substitute the coordinates of R and S: M = \(\left(\frac{-3 + 2}{2}, \frac{5 - 8}{2}\right)\)
03

Calculate the midpoint

Now we can calculate the midpoint M: M = \(\left(\frac{-1}{2}, \frac{-3}{2}\right)\) So, the midpoint of the segment RS is M(-\(\frac{1}{2}\), -\(\frac{3}{2}\)).

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